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:_i ! co rM O < Z MEMO tZ-3-58W NASA _. !:7 _ ;,:, ,... MEMORANDUM HEAT TRANSFER IN THE TURBULENT INCOMPRESSIBLE BOUNDARY LAYER III -ARBITRARY WALL TEMPERATURE AND HEAT FLUX By W. G. Reynolds, W. M. Kays, and S. J. Kline Stanford University i3i!:!/i:} i_::!_!_} !i'!i:!i!!!!i3 NATIONAL SPACE AERONAUTICS ADMINISTRATION WASHINGTON December 1958 https://ntrs.nasa.gov/search.jsp?R=19990116044 2018-05-05T15:29:52+00:00Z
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MEMO tZ-3-58W NASA · PDF fileMEMO tZ-3-58W NASA _. !:7 _;,:, ,... MEMORANDUM HEAT TRANSFER IN THE TURBULENT INCOMPRESSIBLE ... This fact has been pointed out by Klein

Feb 22, 2018

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  • :_i!

    co

    rM

    O

    ,- v

    m

    u"- q,/ /////z7'////

    MEASURED TEMPERATURES

    8

    0 .8 1.6

    DISTANCE FROM

    \- -- RUBESIN PREDICTION -

    ..... i

    2.4 3.2 4.0 4.8

    LEADING EDGE, x, ft

    Figure 9. - Example for constant temperature followed by adiabatic wall.

  • 3O

    0

    TEMPERATURESPREDICTED USINGISOTHERMAL

    EQUATION

    RATURESPREDICTED BYPRESENT INTEGRALANALYSIS

    0 MEASUREDTEMPERATURES

    MEASURED HEAT FLUX

    .8

    0

    1.6 2.4 3.2

    DISTANCE FROM LEADING EDGE, x, ft

    Figure i0. - Example for pulse heat input.

    0

  • 0")

    28

    I.=..

    . 24 /\

    w 20 .r

    w

    w 16

    u.

    E

    re 0 MEASURED TEMPERATURESLU(3.=EWI--

    12 i

    4 q

    0

    0

    51

    45O

    A

    350 ..........-. PREDICTED HEAT FLUX

    vMEASURED HEAT FLUX

    500 .8 1.6 2.4 3.2 4.0 4.8

    DISTANCE FROM LEADING EDGE, x , fl"

    Figure ii. - Prescribed temperature treatment of irregular example.

  • 52

    400

    N-

    O-

    i.

    m

    m

    X

    20014.

    hi"r

    100'

    A

    ,A

    Z_MEASURED HEAT FLUX /_

    r r

    APPROXIMATION BY __//

    STEPS AND RAMPS

    L=

    '\ / \ N

    32

    li..o

    4,--

    ILl0ZWn,'hihU. 16

    o

    w

    F-

    Q.

    I-

    0

    8

    /

    0 MEASURED TEMPERATURES /\

    / \/

    / ,q \

    " ///\ \._"1 / O_

    / II PREDICTED --_ / rv/ ' O N

    : / :_ TEMPERATURES/ -.

    I i ,I "_I L !

    | "--...._ .-._ I''--._TEMPERATURES PREDIGTED FROM- _ .-I --' ISOTHERMAL EQUATION --

    .8 1.6 2.4 :5.2

    DISTANCE FROM LEADING EDGE, X , ff

    4.0 4.8

    Figure 12. - Prescribed heat-flux treatment of irregular example.

    NASA - Langley Field, Va.